Mastering Linear Equations

Mathematics
Grade 6
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About This Worksheet

A worksheet covering Linear Equations for Grade 6 students.

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Mastering Linear Equations

Subject: MathematicsGrade: Grade 6
Name:
Date:

Untitled Worksheet

Grade Grade 6
A

Introduction

Review the key concept: A linear equation in one variable has the form ax + b = 0, where a and b are constants. To solve for x, isolate the variable using inverse operations.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: 2x + 3 = 7
[2 marks]
2.
Solve for x: x - 5 = 10
[2 marks]
3.
Solve for x: 3x = 12
[2 marks]
4.
Solve for x: 5x + 2 = 17
[2 marks]
5.
What is the value of x in the equation: 4x - 4 = 12?
[2 marks]
6.
If 3x + 5 = 20, what is x?
[2 marks]
7.
Solve for x: x/2 + 3 = 7
[3 marks]
8.
Solve for x: 6x - 4 = 14
[3 marks]
9.
Solve for x: 7x + 2 = 23
[3 marks]
10.
Solve for x: 10 - 2x = 4
[3 marks]
11.
Solve for x: 8x + 1 = 25
[3 marks]
12.
A farmer buys 3 chickens and some goats. If the total number of animals is 15, and each chicken costs 2 dollars while each goat costs 4 dollars, how many goats did the farmer buy if he spent 40 dollars? (Hint: Set up an equation)
[4 marks]
13.
A rectangle's length is 3 times its width. If the perimeter of the rectangle is 48 units, find the length and width of the rectangle.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet